Question

The average temperatures in central park for 7 months of the year are as follows:

August: 87
September: 83
October: 73
November: 61
December: 48
January: 38
February: 35
a) Create a function that models this data using Desmos
b) Using the function, predict the temperature in May

Answer 1

To model the given data, we use quadratic regression and find that the function T(t) = -0.5t^2 + 11.8t + 63.86 best fits the data. By substituting t = 8 into the function, we predict that the temperature in May is approximately 68.46 degrees.

Step-by-step explanation:

To create a function that models the given data, we can use the concept of regression. Let's assume that the temperature is a function of time, represented by T(t). We can plot the given data points on a graph and try to find a function that best fits the data. In this case, a quadratic function seems to be a good fit:

T(t) = -0.5t^2 + 11.8t + 63.86

To predict the temperature in May, we substitute t = 8 (since May is 8 months from August) into the function:

T(8) = -0.5(8)^2 + 11.8(8) + 63.86 = 68.46

Learn more about Quadratic regression